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Finding the Fourth Proportional to 24,001.43, 36,004.05 and 6,471

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Solution

The fourth proportional to 24,001.43, 36,004.05 and 6,471 is: 9,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001.43 : 36,004.05 = 6,471 : x
  2. Step 2: Convert to fraction form
    24,001.43/36,004.05 = 6,471/x
  3. Step 3: Cross multiply
    24,001.43x = 36,004.05 × 6,471
  4. Step 4: Simplify right side
    24,001.43x = 232,982,207.55
  5. Step 5: Solve for x
    x = 232,982,207.55/24,001.43
  6. Step 6: Final answer
    x = 9,707.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.